312123401322241 has 2 divisors, whose sum is σ = 312123401322242. Its totient is φ = 312123401322240.

The previous prime is 312123401322157. The next prime is 312123401322287. The reversal of 312123401322241 is 142223104321213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303600271408641 + 8523129913600 = 17424129^2 + 2919440^2 .

It is a cyclic number.

It is not a de Polignac number, because 312123401322241 - 2⁹ = 312123401321729 is a prime.

It is not a weakly prime, because it can be changed into another prime (312123401322041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061700661120 + 156061700661121.

It is an arithmetic number, because the mean of its divisors is an integer number (156061700661121).

Almost surely, 2^{312123401322241} is an apocalyptic number.

It is an amenable number.

312123401322241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123401322241 is an equidigital number, since it uses as much as digits as its factorization.

312123401322241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 312123401322241 its reverse (142223104321213), we get a palindrome (454346505643454).

The spelling of 312123401322241 in words is "three hundred twelve trillion, one hundred twenty-three billion, four hundred one million, three hundred twenty-two thousand, two hundred forty-one".